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Proof step 6 from proof add-okclass-01 (previous step)

⊦ r = r0, reftypep(refval(r0), addobj(r, class0, fis, st)) ∧ (r0 ≠ jvmref → r0 -- _type ∈ st ∧ st[r0 -- _type] = typeval(mkclasstype(class1))) ↔ okclass(refval(r0), class1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ okclass(val, class1, st) ↔ reftypep(val, st) ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ st[val .refval -- _type] = typeval(mkclasstype(class1)))
Proof step 5:
⊦ reftypep(refval(r0), st) → reftypep(refval(r0), addobj(r, class1, fis, st))

Rule argument

[speclemmaarg: , okclass(val, class1, st) ↔ reftypep(val, st) ∧ ( val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ st[val .refval -- _type] = typeval(mkclasstype(class1))) ,[st, class1, val] → [st, class1, refval(r0)] ,F ,okfuns , ,okclass ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ reftypep(refval(jvmref), st)], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ r ∈ st → reftypep(refval(r), st)])], [EXTRATERMS : (st, class1, refval(r0))]]